Home
Class 11
PHYSICS
When the axis of rotation of a body chan...

When the axis of rotation of a body changes does moment of inertia also change ? Why ?

Text Solution

AI Generated Solution

To determine whether the moment of inertia of a body changes when the axis of rotation changes, we can analyze the situation step by step: ### Step 1: Understand Moment of Inertia The moment of inertia (I) of a body is defined as the sum of the products of the mass of each particle in the body and the square of its distance from the axis of rotation. Mathematically, it can be expressed as: \[ I = \sum m_i r_i^2 \] where \( m_i \) is the mass of the i-th particle and \( r_i \) is the distance of that particle from the axis of rotation. ### Step 2: Changing the Axis of Rotation ...
Promotional Banner

Topper's Solved these Questions

  • CIRCULAR MOTION

    ICSE|Exercise MODULE 2 (VERY SHORT ANSWER QUESTIONS)|14 Videos
  • CIRCULAR MOTION

    ICSE|Exercise MODULE 2 (FROM EQUATIONS OF ROTATIONAL MOTION)|8 Videos
  • CIRCULAR MOTION

    ICSE|Exercise MODULE 2 (LONG ANSWER QUESTIONS)|14 Videos
  • COMPETITION CARE UNIT

    ICSE|Exercise OBJECTIVE QUESTIONS FROM PREVIOUS IAS EXAMINATIONS |50 Videos

Similar Questions

Explore conceptually related problems

The axis of rotation of a purely rotating body

Does in charging the mass of a body change?

(A) : Moment of inertia of a particle changes with axis of rotation. (R ) : Moment of inertia depends on mass and distance of the particle from the axis of rotation.

The moment of inertia of a body depends upon

The rotational kinetic energy of a body is E and its moment of inertia is I . The angular momentum is

The moment of inertia of a body does not depend on

Figure shows a body of arbitrary shape 'O is the centre of mass of the body and mass of the body is M. If moment of inertia about axis CC is Icc'. then moment of inertia about axis AA' (I AA')will be equal to

Moment of inertia of a body comes into play

If I is the moment of inertia of a solid body having alpha -coefficient of linear expansion then the change in I corresponding to a small change in temperature DeltaT is

ICSE-CIRCULAR MOTION -MODULE 2 (SHORT ANSWER QUESTIONS)
  1. Can we use the equations of rotational motion if theta is measured in ...

    Text Solution

    |

  2. If a disc starting from rest acquires an angular velocity of 240 "rev ...

    Text Solution

    |

  3. When the axis of rotation of a body changes does moment of inertia als...

    Text Solution

    |

  4. Two equal and opposite forces act on a rigid body at a certain distanc...

    Text Solution

    |

  5. A : For a body to be in rotational equilibrium the net torque acting o...

    Text Solution

    |

  6. Using the S.I. units of torque and angular acceleration show that the ...

    Text Solution

    |

  7. "The rotational vectors are represented by straight lines lying along ...

    Text Solution

    |

  8. Show on a diagram the vector that would represent the angular velocity...

    Text Solution

    |

  9. For calculating the moment of inertia of a body can we assume the whol...

    Text Solution

    |

  10. Derive an equation for the angle covered by, a rotating rigid body in ...

    Text Solution

    |

  11. Define moment pf inertia. Name the factors on which the moment of iner...

    Text Solution

    |

  12. What is the physical significance of moment of inertia ?

    Text Solution

    |

  13. Radius of gyration has the unit

    Text Solution

    |

  14. Name a physical quantity which has the same dimensions as that of torq...

    Text Solution

    |

  15. What is the torque exerted by the gravitational force of sun on the ea...

    Text Solution

    |

  16. If there is no external force acting on a nonrigid body, which of the ...

    Text Solution

    |

  17. An electron moves round the nucleus of an atom, in a circular path. Wh...

    Text Solution

    |

  18. Show that the torque acting on a body is equal to the product of momen...

    Text Solution

    |

  19. The angular momentum of a body with mass (m) moment of inertia (I) and...

    Text Solution

    |

  20. The dimensional formula for angular momentum is

    Text Solution

    |